Stiffeners layout design of thin-walled structures with constraints on multi-fastener joint loads

The purpose of this paper is to present an extended topology optimization method for the stiffeners layout design of aircraft assembled structures.Multi-fastener joint loads and manufacturing constraints are considered simultaneously.On one hand,the joint loads are calculated and constrained within a limited value to avoid the failure of fasteners.On the other hand,the manufacturing constraints of the material distribution in the machining directions of stiffeners are implemented by an improved piecewise interpolation based on a beveled cut-surface.It is proven that the objective function is strictly continuous and differentiable with respect to the piecewise interpolation.The effects of the extended method with two different constraints are highlighted by typical numerical examples.Compared with the standard topology optimization,the final designs have clearly shown the layout of stiffeners and the joint loads have been perfectly constrained to a satisfying level.     

Integrated batteries layout and structural topology optimization for a solar-powered drone

The purpose of this paper is to demonstrate an integrated optimization scheme for a solar-powered drone structure. Consider a primary beam in the wing of large aspect ratio, where 100 lithium batteries are assembled. In the proposed integrated optimization, the batteries are considered here as parts of the load-carrying structure. The corresponding mechanical behaviors are simulated in the structural design and described with super-elements. The batteries layout and the structural topology are then introduced as mixed design variables and optimized simultaneously to achieve an accordant load-carrying path. Geometrical nonlinearity is considered due to the large deformation. Different periodic structural configurations are tested in the optimization in order to meet the structural manufacturing and assembly convenience. The optimized designs are rebuilt and tested in different load cases. Maintaining the same structural weight, the global mechanical performances are improved greatly compared with the initial design.     

Topology Optimization Design for the Layout of theMain Bearing Joint of a Certain Aircraft

为了实现飞机部件的轻量化设计,将拓扑优化和代理模型相结合构建了一个结构布局优化的算法。以某型飞机主承力接头为研究对象,根据结构传力路线和工艺要求,将接头的布局优化转化为耳片的平面拓扑优化与螺栓位置的优化。以接头耳片的厚度和中间排螺栓位置作为布局变量,对每组布局变量下的耳片进行拓扑优化,对布局变量采用基于代理模型的遗传算法进行优化。以质量最小为优化目标,在强度与刚度的多约束条件下,完成了某型飞机主承力接头的布局拓扑优化。结果表明,本方法的优化结果比传统的拓扑优化结果减重约 14.5%,验证了优化算法的可行性与有效性。     

复合材料帽形加筋壁板剪切屈曲性能

对碳纤维增强树脂基复合材料（CFRP）帽形加筋壁板的剪切屈曲进行了试验、理论分析和数值模拟。根据线弹性理论推导了复合材料帽形加筋壁板蒙皮的应变分布;针对复合材料帽形加筋壁板3种蒙皮板条单元截取宽度和两种边界条件,利用理论公式和半经验公式计算了加筋壁板的剪切屈曲载荷;利用特征值法和几何非线性法进行了剪切屈曲模拟分析;将得到的分析结果与试验结果进行了对比。结果表明：根据线弹性理论得到的蒙皮应变分布与试验结果一致,验证了推导结果的正确性;选择合适的边界条件和蒙皮板条单元截取宽度,利用理论公式和半经验公式可得到加筋壁板较准确的屈曲载荷;利用特征值法得到的屈曲载荷较试验屈曲载荷高,选择合适的几何初始缺陷系数利用几何非线性分析方法可模拟复合材料帽形加筋壁板在剪切载荷作用下的屈曲过程。     

基于拓扑优化和形状优化的桨叶结构设计

直升机旋翼桨叶剖面结构设计是研究旋翼动力学设计的基础。提出一种联合拓扑优化和形状优化的 两级优化设计方法,可用于桨叶剖面结构的设计。第一级优化以变密度法(SIMP)作为拓扑优化的材料插值方 法,以桨叶体积最小化为设计目标,约束桨叶节点位移和应力,建立桨叶的拓扑优化求解模型;第二级优化以重 构的桨叶模型为基础开展形状优化,降低局部应力集中以及找到合理的边界节点位置。对优化后的模型进行 有限元分析,结果表明:通过拓扑优化和形状优化的两级优化,能够得到满足强度和稳定性要求的结构布局,为 桨叶结构设计提供指导方案。     

惯导系统结构拓扑优化方法研究

针对惯导系统结构拓扑优化问题,提出了一种考虑多工况组合和等效边界处理的优化方法.以惯导系统结构件为研究对象,梳理了不同结构件的载荷工况;以刚度最大为 目标函数,以体积分数、结构频率和最大变形等作为约束条件,研究了变密度拓扑优化方法;以某惯导系统的盖板、惯性台体和外壳体3个结构件为例,进行了优化方法验证.结果表明,与传统...     

飞机圆弧风挡鸟撞动响应分析

采用等效动载荷法对某机圆弧风挡进行鸟撞动响应分析。着重考虑了应变率对透明件材料性能的影响和几何非线性对刚度矩阵的影响,并将计算结果与全尺寸鸟撞试验结果进行比较。得出了风挡位移在鸟撞击过程中的变化规律。结果表明:应变率对位移、应变影响较大,几何非线性对飞机风挡鸟撞动响应分析结果的影响不可忽略。     

考虑多点保形的结构拓扑优化设计方法

为了抑制飞行器结构局部区域内多个控制点的翘曲变形,提出考虑结构保形的拓扑优化设计新方法。基于由局部区域内保形控制点生成的人工附加弱单元(AWE),定义AWE的变形能约束函数,从而引入了对结构局部区域的多点保形约束,定量衡量并抑制了该区域内结构的弹性翘曲变形程度。进一步讨论并分析了保形约束与整体刚度之间的消长关系以及优化过程中可能存在的传力路径畸变现象。拓扑优化数值算例的设计结果对比表明,保形拓扑优化方法相比现有拓扑优化方法,能够有效抑制多点间的相对位移和翘曲变形,实现保形设计效果。     

Topology optimization in lightweight design of a 3D-printed flapping-wing micro aerial vehicle

Topology optimization is an effective method to obtain a lightweight structure that meets the requirements of structural strength. Whether the optimization results meet the actual needs mainly depends on the accuracy of the material properties and the boundary conditions, especially for a tiny Flapping-wing Micro Aerial Vehicle (FMAV) transmission system manufactured by 3D printing. In this paper, experimental and numerical computation efforts were undertaken to gain a reliable topology optimization method for the bottom of the transmission system. First, the constitutive behavior of the ultraviolet (UV) curable resin used in fabrication was evaluated. Second, a numerical computation model describing further verified via experiments. Topology optimization modeling considering nonlinear factors, e.g. contact, friction and collision, was presented, and the optimization results were verified by both dynamic simulation and experiments. Finally, detailed discussions on different load cases and constraints were presented to clarify their effect on the optimization. Our methods and results presented in this paper may shed light on the lightweight design of a FMAV.     

压力载荷下的结构拓扑-形状协同优化

 压力载荷作用下的结构轻量化设计是工程中的常见问题,由于压力加载面的可设计性,现有以固定载荷为基础的拓扑优化技术不能很好地处理这类问题。直接采用CAD参数化样条或B样条曲线描述压力加载面,通过拓扑和形状变量的联合优化满足了工程实际对结构轻量化与边界的功能性与光滑性设计要求。同时,为了避免结构边界形状变化时有限元网格刷新引起的定义拓扑伪密度变量的困难,用所提出的背景网格和密度点技术实现了每一步单元密度设计迭代结果的自动传递,并采用网格变形技术实现了形状设计变量灵敏度分析。采用4个数值算例验证了方法的有效性,其中发动机承力框架的设计结果充分说明该方法在航空结构设计中的重要应用价值。     

基于可行域调整的多相材料结构拓扑优化设计

针对多相材料结构柔顺度拓扑优化问题及其存在多个局部优化解的情况,提出一种新的多相材料结构柔顺度拓扑优化问题的求解方法, 并研究其获得多个局部优化解及寻找较好的优化解的能力。基于材料属性有理近似 （RAMP）模型,引入可行域调整技术,构建多相材料结构拓扑优化模型及近似优化模型。提出一种改进的交替主动相算法,该算法将多相材料结构拓扑近似优化模型分解为多个含2个主动相材料体积约束的系列二元相拓扑优化子模型,并利用光滑化对偶算法进行优化求解。与现有方法相比,采用多个不同的优化初始拓扑,提出的方法可找到更优的多相材料结构拓扑, 且为多相材料结构拓扑优化的多样性设计提供了一种有价值的思路与方法。     

切尖三角翼极限环振荡的气动弹性模拟

 建立了高精度的气动弹性计算模型,对切尖三角翼风洞试验中的极限环振荡（LCO）现象进行数值模拟。结构部分引入大变形产生的几何非线性和塑性引起的材料非线性,气动部分采用Euler方程描述跨声速流动。结构/气动交界面精确匹配,并选取三维插值进行界面载荷传递。依据所建模型分析切尖三角翼的颤振和LCO,并与试验值进行比较。在小来流动压情况下,结构几何非线性引起了切尖三角翼的LCO,计算结果和试验值吻合较好。在大来流动压情况下,结构材料非线性导致了LCO幅值的急剧增大,其变化趋势与试验观察相符。研究结果显示,切尖三角翼的LCO不仅与结构几何非线性密切相关,而且受到结构材料非线性的显著影响。     

流体拓扑优化方法及其在叶轮机械中的应用

相比于结构拓扑优化,流体拓扑优化的发展较为滞后。为了促进流体拓扑优化在叶轮机械领域的应用,根据公开资料中的研究成果,首先介绍了该方法的理论基础,包括优化问题数学模型、流动控制方程及求解方法、灵敏度分析技术、优化不稳定问题的预防措施及几何重构方法。然后总结归纳了流体拓扑优化在叶轮机械气动热力学领域的研究现状,通过对涡轮叶片内部冷却结构、涡轮叶片叶顶结构以及离心压气机弯道设计的描述,指出该方法的技术优势。研究表明,相比于传统形状和尺寸优化方法,拓扑优化具有更高的设计自由度,且突破了结构参数化的限制,有助于挖掘具有优良性能的新型结构。最后,对流体拓扑优化方法在未来叶轮机械设计中的发展进行了展望。     

Multi-scale design and optimization for solid-lattice hybrid structures and their application to aerospace vehicle components

By integrating topology optimization and lattice-based optimization, a novel multi-scale design method is proposed to create solid-lattice hybrid structures and thus to improve the mechanical performance as well as reduce the structural weight. To achieve this purpose, a two-step procedure is developed to design and optimize the innovative structures. Initially, the classical topology optimization is utilized to find the optimal material layout and primary load carrying paths. Afterwards, the solid-lattice hybrid structures are reconstructed using the finite element mesh based modeling method. And lattice-based optimization is performed to obtain the optimal cross-section area of the lattice structures. Finally, two typical aerospace structures are optimized to demonstrate the effectiveness of the proposed optimization framework. The numerical results are quite encouraging since the solid-lattice hybrid structures obtained by the presented approach show remarkably improved performance when compared with traditional designs.     

An aerospace bracket designed by thermo-elastic topology optimization and manufactured by additive manufacturing

Combination of topology optimization and additive manufacturing technologies provides an effective approach for the development of light-weight and high-performance structures. A heavy-loaded aerospace bracket is designed by topology optimization and manufactured by additive manufacturing technology in this work. Considering both mechanical forces and temperature loads, a formulation of thermo-elastic topology optimization is firstly proposed and the sensitivity analysis is derived in detail. Then the procedure of numerical optimization design is presented and the final design is additively manufactured using Selective Laser Melting (SLM). The mass of the aerospace bracket is reduced by over 18%, benefiting from topology and size optimization, and the three constraints are satisfied as well in the final design. This work indicates that the integration of thermo-elastic topology optimization and additive manufacturing technologies can be a rather powerful tool kit for the design of structures under thermal-mechanical loading.     

某直升机全复合材料尾段结构优化设计研究

以蒙皮复合材料各方向铺层的厚度为设计变量,对直升机全复合材料尾段结构进行静力分析以及优化设计,使其在满足结构刚度、强度约束的条件下结构重量最轻.应用ANSYS软件,采用APDL参数化编程语言,实现参数化建模、静力分析以及优化设计.应用四种约束方法,提高优化结果的可靠性.优化结果表明,结构重量较初始经验设计减轻了50%左右,载荷分配更加合理,消除了一些应力集中现象,使其更好的满足全部的约束条件,达到预期的优化效果.     

基于渐进结构优化法的结构动力学设计方法的初步研究

利用渐进结构优化法并结合结构效率的概念,提出了一种新型的结构动力学设计思路和一套基于ANSYS平台的优化程序开发技术.其中单目标、多约束优化模型的建立,融入了质量、应力、位移以及频率等动力学设计参数,研究初期阶段只依次对各约束进行了单独处理.相关算例的计算结果表明,在相同条件下,忽略数值不稳定性带来的影响,优化程序得到的最终拓扑、结构进化历程以及参数变化都和已有成果基本一致,由此也验证了设计方法的可行性与程序的可靠性.      

Precise output loads control of load-diffusion components with topology optimization

The purpose of this paper is to present a novel topology optimization approach to control precisely the output loads under static loads and harmonic excitations. We introduce the Artificial Bar Element (ABE) at the designated output positions, where the output loads are equivalently measured and constrained with the nodal displacements of ABE. Optimization model is then formulated considering the output load constraints as well as the minimization of strain energy and dynamic displacement responses respectively under the static and dynamic conditions. The influences of the ABEs stiffness, different material usages of the design domain, widths of the output loads constraint intervals and variation ratios of output loads are discussed in detail. The proposed method is verified with several numerical examples with clear and reasonable load transfer paths.     

Topology optimization of support structure of telescope skin based on bit-matrix representation NSGA-II

Non-dominated sorting genetic algorithm II（NSGA-II）with multiple constraints handling is employed for multi-objective optimization of the topological structure of telescope skin,in which a bit-matrix is used as the representation of a chromosome,and genetic algorithm（GA）operators are introduced based on the matrix.Objectives including mass,in-plane performance,and out-of-plane load-bearing ability of the individuals are obtained by fnite element analysis（FEA）using ANSYS,and the matrix-based optimization algorithm is realized in MATLAB by handling multiple constraints such as structural connectivity and in-plane strain requirements.Feasible confgurations of the support structure are achieved.The results confrm that the matrix-based NSGA-II with multiple constraints handling provides an effective method for two-dimensional multi-objective topology optimization.     

考虑鸟撞的航空发动机叶片动态拓扑优化设计

为了实现航空发动机冷端风扇叶片在考虑鸟撞情况下的轻量化设计,从结构拓扑优化计算的角度出发,对该问题展开深入的研究并提出具体的解决方案。针对叶片优化中存在的优化模型建立,结构动态工况优化,多条件约束并存处理,多工况联合优化等关键问题,进行了理论上的深入分析研究,阐述了结构多约束、多工况动态优化的理论基础,并结合相应的数值计算平台,提出了风扇叶片分步优化计算的方案,对航空发动机叶片进行拓扑优化计算。计算结果显示,最终的叶片轻量化结构满足所有鸟撞与离心载荷多工况的优化约束条件,拓扑结构中材料分布合理,在满足适航条例强度要求的同时质量减少达37.9%,具有一定的实际参考应用价值,同时所提出的动态优化计算方案,在工程结构的动态优化中具有广阔的应用前景。